82 xj550 maxim Carb question

I have this 82 xj550 maxim but I think the Carb is from another bike. Not 100% sure because the person that I got it from and got it running in the first place is no longer with us. I think its from a 650, and another brand (Honda, Kawasaki, etc). The bike doesn't run the greatest and I have thoroughly cleaned and reassembled the Carb with a friend that knows how to do this.

My question is if there is a way to identify the Carb that should be on the bike, or what Carb I do have. Also, I would like to know the factory jet settings for this bike. Maybe I could just put in the correct jets and get it running right. That could be a fix, because I went to my dealer and they sold me different pilot jets and it ran too rich with what it should have. Maybe I could pair them with the correct main jets? Oh, I guess I could call them and see what the main jet should be. But what do I have on my bike? I could check or take photos I anyone can tell MD what's up here.

Thanks

 

Stock jet sizes can be found in the parts catalog from the site's parts-guru Chacal, right here.
I'm sure someone else will chip in on how to identify your carbs.

 

The carbs that belong on your bike are Mikuni BS28s. The carbs should have "Mikuni" cast into one or the other side of the carb, just below the "hats."